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Консультация № 201544
25.10.2021, 09:54
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Здравствуйте! Прошу помощи в следующем вопросе:
В последовательной замкнутой цепи, состоящей из источника переменного напряжения с частотой 1 кГц и величиной 12 V, резистора номинальным сопротивлением 2 кОм и конденсатора ёмкостью 1 мкФ, определить падение напряжения на резисторе и конденсаторе и величину тока.
Поможет кто решить?)
В последовательной замкнутой цепи, состоящей из источника переменного напряжения с частотой 1 кГц и величиной 12 V, резистора номинальным сопротивлением 2 кОм и конденсатора ёмкостью 1 мкФ, определить падение напряжения на резисторе и конденсаторе и величину тока.
Поможет кто решить?)
Обсуждение
25.10.2021, 14:22
общий
25.10.2021, 14:24
это ответ
Ток i определяется также, как и для цепи постоянного тока - по закону Ома, но в комплексной форме:
где U - напряжение источника, Z - полное комплексное сопротивление, которое в случае последовательной цепи, состоящей из сопротивления R и ёмкости С, равно
где
реактивное сопротивление на конденсаторе. При заданных исходных данных [$969$] = 2[$960$]f = 2[$183$]3.1416[$183$]1000 = 6283.2 c[sup]-1[/sup], R = 2 кОм = 2000 Ом, X[sub]C[/sub] = 1/2[$183$]3.1416[$183$]1000[$183$]0.000001 [$8776$] 159.155 Ом. Подставляя эти значения, получаем
Падение напряжения на отдельных элементах определяется по закону Ома как произведение силы тока на комплексное сопротивление элемента, то есть
Можно заметить, что U[sub]R[/sub]+U[sub]C[/sub] = U, что подтверждает правильность решения.
где U - напряжение источника, Z - полное комплексное сопротивление, которое в случае последовательной цепи, состоящей из сопротивления R и ёмкости С, равно
где
реактивное сопротивление на конденсаторе. При заданных исходных данных [$969$] = 2[$960$]f = 2[$183$]3.1416[$183$]1000 = 6283.2 c[sup]-1[/sup], R = 2 кОм = 2000 Ом, X[sub]C[/sub] = 1/2[$183$]3.1416[$183$]1000[$183$]0.000001 [$8776$] 159.155 Ом. Подставляя эти значения, получаем
Падение напряжения на отдельных элементах определяется по закону Ома как произведение силы тока на комплексное сопротивление элемента, то есть
Можно заметить, что U[sub]R[/sub]+U[sub]C[/sub] = U, что подтверждает правильность решения.
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